What is 45/75 Divided By 8/9

Solving $\frac{45}{75}\div\frac{8}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{45}{75} \div \frac{8}{9} = \frac{45}{75} \times \frac{9}{8}$

• Multiply the Numerators: $45 \times 9 = 405$
• Multiply the Denominators: $75 \times 8 = 600$
• Form the New Fraction: $\frac{45}{75} \times \frac{8}{9} = \frac{405}{600}$

Let's Simplify $\frac{405}{600}$

• Find the Greatest Common Divisor (GCD) of $405$ and $600$. The GCD of $405$ and $600$ is $15$.
• Divide both the numerator and the denominator by the GCD:$\frac{405 \div 15}{600 \div 15} = \frac{27}{40}$

Answer $\frac{45}{75}\div\frac{8}{9} = \frac{27}{40}$

The following animation demonstrates the divide-by,